Eventually Number-Conserving Cellular Automata
| dc.creator | Boccara, Nino | |
| dc.date | 2004-10-21 | |
| dc.date | 2005-02-01 | |
| dc.date.accessioned | 2026-07-07T03:01:37Z | |
| dc.date.available | 2026-07-07T03:01:37Z | |
| dc.description | We present a preliminary study of a new class of two-input cellular automata called eventually number-conserving cellular automata characterized by the property of evolving after a finite number of time steps to states whose number of active sites remains constant. Eventually number-conserving cellular automata are models of open systems of interacting particles, that is, system of particles interacting with the external world, The particle aspect of eventually number-conserving cellular automata can be emphasized by the motion representation of the cellular automaton evolution rule. This new class of cellular automata contains, as strict subclasses, number-conserving cellular automata, monotone cellular automata, and cellular automata emulating number-conserving ones. Our main objective is to show that they are not what one might naively think they are. | |
| dc.description | 13 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0410563 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0410563 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25116 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Eventually Number-Conserving Cellular Automata | |
| dc.type | text |